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Using a GPS we have m all speed v of an object moving . Measurement might have been made by N + 1 times (ti)i=0N( from i = 0 to N) such that the result is a sequence of numbers pairs ( ti, vi)i=0N(from i = 0 to N) which we specify the speed at time ti.
a. Give an algorithm to calculate an approximation to the object akselle- ration a (t) = v ' (t) from the calculated values (ti, vi) of speed.
b. Give an algorithm to calculate an approximation to the object's distance s ( t) from the starting point from the calculated value when v (t) = s' (t) and s (t0) = 0.
the region in the first quadrant enclosed between the graph of y = ax -x2 and the x-axis generates the same volume whether it is revolved about the x-axis or the y-axis. use analytic methods to find the value of a.
draw and label two different boxes that would each hold 60 cubic feet of merchandise. calculate the amount of cardboard
Given S is a subset of R. Suppose S' (set of all accumulation points in S) = emptyset. Prove S is countable.
Find the measures of angles x and y so that the top of the table will be parallel to the ground.
a manufacture of backpacks determines that the cost to product 100 backpacks is 1500$. The cost to produce 500 backpacks is $7000. write a linear equation for the cost, y, of producing x backpacks.
Researchers find a creature from an alien planet. its body temp is varying sinusoidally with time. 35 minutes after they start timing, it reaches a high of 120F. 20 minutes after that it reaches a low of 104F.
Show that a k-connected graph with at least 2k vertices contains a matching of size k. Is this best possible?
The scores on a certain test are normally distributed with a mean score of 51 and a standard deviation of 2. What is the probability that a sample of 90 students
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
a certain rectangular room has an area of 196 Ft2. if the length and width of the room are the same, how wide is the room?
A carpenter is building a rectangular room with a fixed perimeter of 92 ft. What dimensions would yield the maximum area? What is the maximum area?
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
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